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Simplifying (5v + 6)(9 + v) = 0 Reorder the terms: (6 + 5v)(9 + v) = 0 Multiply (6 + 5v) * (9 + v) (6(9 + v) + 5v * (9 + v)) = 0 ((9 * 6 + v * 6) + 5v * (9 + v)) = 0 ((54 + 6v) + 5v * (9 + v)) = 0 (54 + 6v + (9 * 5v + v * 5v)) = 0 (54 + 6v + (45v + 5v2)) = 0 Combine like terms: 6v + 45v = 51v (54 + 51v + 5v2) = 0 Solving 54 + 51v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + v)(6 + 5v) = 0Subproblem 1
Set the factor '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 v = -9 Simplifying v = -9Subproblem 2
Set the factor '(6 + 5v)' equal to zero and attempt to solve: Simplifying 6 + 5v = 0 Solving 6 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5v = 0 + -6 5v = 0 + -6 Combine like terms: 0 + -6 = -6 5v = -6 Divide each side by '5'. v = -1.2 Simplifying v = -1.2Solution
v = {-9, -1.2}
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